Question
Download Solution PDFWhat is the value of \(\rm \int e^x (\cos x - \sin x)dx \)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept
\(\rm \int e^x \left(f(x)+f'(x)\right)dx \) = ex f(x) + c
Calculation:
Given: \(\rm \int e^x (\cos x - \sin x)dx \)
Let f(x) = cos x
⇒ f'(x) = - sin x
∴ \(\rm \int e^x (\cos x - \sin x)dx = \rm e^x\cdot \cos x + c\)
Last updated on Jun 20, 2025
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